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headloss Bernoulli

Calculates the head loss using the extended Bernoulli equation.

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Contents

Interface
Headloss Bernoulli
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Private project under development, to help contact the author:

Interface

C++

Excel

Headloss Bernoulli

doubleheadloss_Bernoulli(	double	`density`
	double	`elevation1`
	double	`elevation2`
	double	`pressure1`
	double	`pressure2`
	double	`velocity1`
	double	`velocity2`	)[inline]

Considering two different points within a fluid given by their elevations $\inline Z_{1,2}$ , pressures $\inline P_{1,2}$ and velocity of the fluid at those points $\inline v_{1,2}$ , the Bernoulli equation takes the form:

$Z_1 + \frac{144 P_1}{\rho} + \frac{v_1^2}{2g} = Z_2 + \frac{144 P_2}{\rho} + \frac{v_2^2}{2g} + h_L$

(2)

where $\inline \rho$ is the weight density of the fluid and $\inline h_L$ is the pipe friction loss or head loss from point 1 to point 2. The acceleration of gravity $\inline g$ is assumed to be 32.2 feet per second per second.

Example 1

#include <stdio.h>
#include <codecogs/engineering/fluids/imperial/headloss_bernoulli.h>
 
int main()
{
  double loss = Engineering::Fluids::Imperial::headloss_Bernoulli
  (0.45345, 2.5, 3.4, 10, 7, 100, 95);
  printf("Head loss = %.14lf ft\n", loss);
 
  return 0;
}

Output

Head loss = 43.82658376874603 ft

References

The Engineering Division, Crane Co., "Flow of fluids through valves, fittings, and pipe", Chicago, 1957

Parameters

density	weight density of fluid (pounds per cubic feet)
elevation1	elevation at point 1 above reference level (feet)
elevation2	elevation at point 2 above reference level (feet)
pressure1	pressure at point 1 (pounds per square)
pressure2	pressure at point 2 (pounds per square)
velocity1	mean velocity of flow at point 1 (feet per second)
velocity2	mean velocity of flow at point 2 (feet per second)

Returns

The head loss between point 1 and point 2.

Authors

Lucian Bentea (July 2006)

Source Code

This module is private, for owner's use only.

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